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Finding the Fourth Proportional to 41,618, 57,436.32 and 23,713.76

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Solution

The fourth proportional to 41,618, 57,436.32 and 23,713.76 is: 32,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,618 : 57,436.32 = 23,713.76 : x
  2. Step 2: Convert to fraction form
    41,618/57,436.32 = 23,713.76/x
  3. Step 3: Cross multiply
    41,618x = 57,436.32 × 23,713.76
  4. Step 4: Simplify right side
    41,618x = 1,362,031,107.76
  5. Step 5: Solve for x
    x = 1,362,031,107.76/41,618
  6. Step 6: Final answer
    x = 32,726.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.